If $x+5$ is a factor of $x^{3}+13 x^{2}+a x+35$ find the value of $a$.
$a=47$
What are the possible expressions for the dimensions of a cuboid whose volume is given as $\left(2 x^{3}+15 x^{2}+33 x+20\right)$ cubic units? $(x>0)$
Classify the following polynomials as polynomials in one variable, two variables etc.
$x y+y z+z x$
The following expressions are polynomials? Justify your answer:
$8$
Write whether the statement are True or False. Justify your answer.
The degree of the sum of two polynomials each of degree $5$ is always $5 .$
Classify the following as linear, quadratic or cubic polynomial
$x^{3}+2 x^{2}+3 x+2$
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